Question

show that
a) from the equation

LÆn, l, me >= C+|n, l, met1 >

that L± cannot create a state in which

which means that L± respects
the limit | m_ℓ | ≤ ℓ

b) using expressions for the operators

   and the equation of (a) demonstrate that the matrix elements of the operators Lx and Ly are

thanks

Answer 1

Luine mi? = ezina metr> the = ħ Veleti) - Ermalme=t) Ine ame=17 whore et = hivace+) - my (1341) it mise, gasto fra ,) -214713 to But et cannot be imaginary.

So, ma al is not satisfactory condition. Lt the ti ly to = Ly-sly > Les ( + + 2-2 by = ( -2-2 (nil, melly) nit, may med knyt, mel2* +L-) / , l, money online ? mil, me I 24 1 n, d, me) + }(n,1, mel L-11,6,707) A But Lyol 1,1,2017 = tid eller 4 (41) ---,man) In, 1, me +) anel L- Inid, m? zk vál+1) - omri) Inid, 2004-)) So, as (68) 2(14) - 79. a® <, 6, Me/ 1,1, 2014 to valka) - (m3) < mik, mel n, d, ma-1) 30. Glue to orthogonalitan similarly (147 zo due to orthogonality, olt el, meln, l, mil